1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: How to integrate a function within a square root

  1. Aug 30, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the length of x=y^3/30+5/(2y) on 3 <= y <= 5


    2. Relevant equations

    L = integral sqrt(1+(dx/dy)^2)dx

    3. The attempt at a solution

    I got to the integral upper bound = 5, lower bound = 3, sqrt(y^4/100+25/(4y^4)+1/2)dy. How do I actually solve the integral? It would be find if there wasn't a square root.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 30, 2010 #2

    Mentallic

    User Avatar
    Homework Helper

    Factor out [tex]\frac{1}{100y^4}[/tex] inside the root and see if you can go from there.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook